Classical information retrieval methods often lose valuable information when aggregating weights, which may diminish the discriminating power between documents. To cope with this problem, the paper presents an approach for ranking documents in IR, based on a vector-based ordering technique already considered in fuzzy logic for multiple criteria analysis purpose. Moreover, the proposed approach uses a possibilistic framework for evaluating queries to a document collection, which distinguishes between descriptors that are certainly relevant and those which are possibly relevant only. The proposal is evaluated on a benchmark collection that allows us to compare the effectiveness of this approach with a classical one. The proposed method provides an improvement of the precision w.r.t Mercure IR system.